make a conjecture about the diagram below. do you think you can conclude that △jkl≅△xyz? explain your…
make a conjecture about the diagram below. do you think you can conclude that △jkl≅△xyz? explain your reasoning.
Answer
Explanation:
Step1: Identify congruence - criteria conditions
In $\triangle{JKL}$ and $\triangle{XYZ}$, we see that $\angle{K}=\angle{Y} = 90^{\circ}$, $JK = XY$ (one - marked segments) and $KL=YZ$ (two - marked segments).
Step2: Apply congruence theorem
By the Hypotenuse - Leg (HL) congruence theorem for right - triangles (since we have right - triangles and the hypotenuse and one leg are congruent), we can conclude that $\triangle{JKL}\cong\triangle{XYZ}$.
Answer:
Yes, $\triangle{JKL}\cong\triangle{XYZ}$ by the HL congruence theorem for right - triangles.